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Finding the Fourth Proportional to 8,567.27, 12,849.34 and 3,886.16

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Solution

The fourth proportional to 8,567.27, 12,849.34 and 3,886.16 is: 5,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.27 : 12,849.34 = 3,886.16 : x
  2. Step 2: Convert to fraction form
    8,567.27/12,849.34 = 3,886.16/x
  3. Step 3: Cross multiply
    8,567.27x = 12,849.34 × 3,886.16
  4. Step 4: Simplify right side
    8,567.27x = 49,934,571.70
  5. Step 5: Solve for x
    x = 49,934,571.70/8,567.27
  6. Step 6: Final answer
    x = 5,828.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.